If f(x) = x^2-36/x+6 is continuous at x = –6, find f(–6).

f(-6)=-12

Step-by-step explanation:

We are given a  function : which is continuous at x = -6.

Now, using identity , we have

Replace in the given function:-

Cancel (x+6) from numerator and denominator , we get

Now,

Hence, f(-6)=-12

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)